Question

A circle centered at O and of radius 5 cm is divided into six equal parts as shown in the figure below.

If the endpoints of these lines are joined, then the 2D shape so obtained is

• A. a star
• B. an equilateral triangle
• C. a regular hexagon
• D. an isosceles triangle

Answer 1

The correct option is C

a regular hexagon

Draw a circle with radius 5 cm and divide it into six equal parts.

Then join A to B, B to C, C to D, D to E and E to F.

Now, by measuring the lengths of sides AB, BC, CD, DE, EF and FA, we see that AB = BC = CD = DE = EF = FA = 5 cm.

Also, we see that, $\angle$A = $\angle$B = $\angle$C = $\angle$D = $\angle$E = $\angle$F = 120${}^{\circ }$

Hence the 2D shape so obtained inside the circle is a regular hexagon.